## Question

### Solution

Correct option is

Solving the equations

Therefore the centre of the required circle is  but circle passes through (2, 0)

Hence the required equation of the circle is

#### SIMILAR QUESTIONS

Q1

Find the area of the triangle formed by the tangents drawn from the point (4, 6) to the circle x2 + y2 = 25 and their chord of contact. Also find the length of chord of contact.

Q2

Find the lengths of external and internal common tangents to two circlesx2 + y2 + 14x – 4y + 28 = 0 and x2 + y2 – 14x + 4y – 28 = 0.

Q3

Find the lengths of common tangents of the circles x2 + y2 = 6x and x2 +y2 + 2x = 0.

Q4

Find the equation of the circle circumscribing the triangle formed by the lines:

x + y = 6, 2x + y = 4 and x + 2y = 5,

Without finding the vertices of the triangle.

Q5

Find the equation of the circle circumscribing the quadrilateral formed by the lines in order are 5x + 3y – 9 = 0, x – 3y = 0, 2x – y = 0, x + 4y – 2 = 0 without finding the vertices of quadrilateral.

Q6

Find the equation of a circle which touches the x-axis and the line 4x – 3y+ 4 = 0. Its centre lies in the third quadrant and lies on the line x – y – 1 = 0.

Q7

Find the equations of the circle which passes through the origin and cut off chords of length a from each of the lines y = x and y = –x.

Q8

Determine the radius of the circle, two of whose tangents are the lines 2x+ 3y – 9 = 0 and 4x + 6y + 19 = 0.

Q9

Find the equation of the circle which touches the circle

x2 + y2 – 6x + 6y + 17 = 0 externally and to which the lines

x2 – 3xy – 3x + 9y = 0 are normals.

Q10

Tangents are drawn from (6, 8) to the circle x2 + y2 = r2. Find the radius of the circle such that the areas of the âˆ† formed by tangents and chord of contact is maximum.